Search a number
-
+
426126 = 23293179
BaseRepresentation
bin1101000000010001110
3210122112110
41220002032
5102114001
613044450
73423231
oct1500216
9718473
10426126
11271178
12186726
1311bc5c
14b1418
15863d6
hex6808e

426126 has 32 divisors (see below), whose sum is σ = 921600. Its totient is φ = 131040.

The previous prime is 426103. The next prime is 426131. The reversal of 426126 is 621624.

It is a happy number.

Its product of digits (576) is a multiple of the sum of its prime divisors (144).

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 426126.

It is an unprimeable number.

426126 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5355 + ... + 5433.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2426126 is an apocalyptic number.

426126 is an abundant number, since it is smaller than the sum of its proper divisors (495474).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426126 is a wasteful number, since it uses less digits than its factorization.

426126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

The product of its digits is 576, while the sum is 21.

The square root of 426126 is about 652.7832718445. The cubic root of 426126 is about 75.2510696934.

The spelling of 426126 in words is "four hundred twenty-six thousand, one hundred twenty-six".

Divisors: 1 2 3 6 29 31 58 62 79 87 93 158 174 186 237 474 899 1798 2291 2449 2697 4582 4898 5394 6873 7347 13746 14694 71021 142042 213063 426126